Tohoku Mathematical Journal
2019
December
SECOND SERIES VOL. 71, NO. 4

Tohoku Math. J.
71 (2019), 525-532

Title GENERALIZED KäHLER EINSTEIN METRICS AND UNIFORM STABILITY FOR TORIC FANO MANIFOLDS

Author Satoshi Nakamura

(Received June 22, 2017)
Abstract. We give a complete criterion for the existence of generalized Kähler Einstein metrics on toric Fano manifolds from view points of a uniform stability in a sense of GIT and the properness of a functional on the space of Kähler metrics.

Mathematics Subject Classification. Primary 53C25; Secondary 53C55, 58E11.
Key words and phrases. generalized Kähler metrics, toric Fano manifolds, uniform relative Ding stability, modified Ding funcrional.

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